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This paper presents a systematic method for synthesizing a Control Barrier Function (CBF) that encodes predictive information into a CBF. Unlike other methods, the synthesized CBF can account for changes and time-variations in the…

系统与控制 · 电气工程与系统科学 2025-04-23 Adrian Wiltz , Dimos V. Dimarogonas

This tutorial paper presents recent work of the authors that extends the theory of Control Barrier Functions (CBFs) to address practical challenges in the synthesis of safe controllers for autonomous systems and robots. We present novel…

Control Barrier Functions (CBF) have provided a very versatile framework for the synthesis of safe control architectures for a wide class of nonlinear dynamical systems. Typically, CBF-based synthesis approaches apply to systems that…

系统与控制 · 电气工程与系统科学 2024-02-15 Shuo Yang , Mitchell Black , Georgios Fainekos , Bardh Hoxha , Hideki Okamoto , Rahul Mangharam

This article presents a systematic method for designing time-varying Control Barrier Functions (CBF) composed of a time-invariant component and multiple time-dependent components, leveraging structural properties of the system dynamics. The…

系统与控制 · 电气工程与系统科学 2025-12-10 Adrian Wiltz , Dimos V. Dimarogonas

This paper presents a methodology for ensuring that the composition of multiple Control Barrier Functions (CBFs) always leads to feasible conditions on the control input, even in the presence of input constraints. In the case of a system…

最优化与控制 · 数学 2023-03-24 Joseph Breeden , Dimitra Panagou

In this paper, we develop a novel adaptation-based approach to constrained control design under multiple state and input constraints. Specifically, we introduce a method for synthesizing any number of time-varying candidate control barrier…

最优化与控制 · 数学 2023-04-05 Mitchell Black , Dimitra Panagou

Safety is a critical property for control systems in medicine, transportation, manufacturing, and other applications, and can be defined as ensuring positive invariance of a predefined safe set. This paper investigates the problems of…

系统与控制 · 电气工程与系统科学 2024-11-12 Andrew Clark

Certifying the safety of nonlinear systems, through the lens of set invariance and control barrier functions (CBFs), offers a powerful method for controller synthesis, provided a CBF can be constructed. This paper draws connections between…

系统与控制 · 电气工程与系统科学 2024-06-18 Max H. Cohen , Ryan K. Cosner , Aaron D. Ames

This paper presents a safe controller synthesis of discrete-time stochastic systems using Control Barrier Functions (CBFs). The proposed condition allows the design of a safe controller synthesis that ensures system safety while avoiding…

系统与控制 · 电气工程与系统科学 2025-01-17 Sotaro Fushimi , Kenta Hoshino , Yuki Nishimura

Control systems often must satisfy strict safety requirements over an extended operating lifetime. Control Barrier Functions (CBFs) are a promising recent approach to constructing simple and safe control policies. This paper proposes a…

系统与控制 · 电气工程与系统科学 2021-04-30 Andrew Clark

Control barrier functions (CBFs) are a powerful tool for synthesizing safe control actions; however, constructing CBFs remains difficult for general nonlinear systems. In this work, we provide a constructive framework for synthesizing CBFs…

系统与控制 · 电气工程与系统科学 2025-09-04 Gilbert Bahati , Ryan K. Cosner , Max H. Cohen , Ryan M. Bena , Aaron D. Ames

In a complex real-time operating environment, external disturbances and uncertainties adversely affect the safety, stability, and performance of dynamical systems. This paper presents a robust stabilizing safety-critical controller…

系统与控制 · 电气工程与系统科学 2022-04-29 Ersin Daş , Richard M. Murray

Control Barrier Functions (CBFs) offer a framework for ensuring set invariance and designing constrained control laws. However, crafting a valid CBF relies on system-specific assumptions and the availability of an accurate system model,…

系统与控制 · 电气工程与系统科学 2025-05-14 Mohammad Bajelani , Klaske van Heusden

Control Barrier Functions (CBFs) have emerged as an effective and non-invasive safety filter for ensuring the safety of autonomous systems in dynamic environments with formal guarantees. However, most existing works on CBF synthesis focus…

机器人学 · 计算机科学 2025-05-20 Yuepeng Zhang , Yu Chen , Yuda Li , Shaoyuan Li , Xiang Yin

In this paper, we study a safe control design for dynamical systems in the presence of uncertainty in a dynamical environment. The worst-case error approach is considered to formulate robust Control Barrier Functions (CBFs) in an…

系统与控制 · 电气工程与系统科学 2024-02-15 Vahid Hamdipoor , Nader Meskin , Christos G. Cassandras

Control Lyapunov functions (CLFs) and control barrier functions (CBFs) are widely used tools for synthesizing controllers subject to stability and safety constraints. Paired with online optimization, they provide stabilizing control actions…

机器人学 · 计算机科学 2022-10-04 Hongkai Dai , Frank Permenter

We develop a novel adaptation-based technique for safe control design in the presence of multiple control barrier function (CBF) constraints. Specifically, we introduce an approach for synthesizing any number of candidate CBFs into one…

最优化与控制 · 数学 2022-09-20 Mitchell Black , Dimitra Panagou

This paper investigates the design of a subclass of time-varying Control Barrier Functions (CBFs), specifically that of uniformly time-varying CBFs. Leveraging the fact that CBFs encode a system's dynamic capabilities relative to a state…

系统与控制 · 电气工程与系统科学 2025-09-19 Adrian Wiltz , Dimos V. Dimarogonas

This paper presents a new approach for guaranteed safety subject to input constraints (e.g., actuator limits) using a composition of multiple control barrier functions (CBFs). First, we present a method for constructing a single CBF from…

系统与控制 · 电气工程与系统科学 2024-09-10 Pedram Rabiee , Jesse B. Hoagg

As the complexity of control systems increases, safety becomes an increasingly important property since safety violations can damage the plant and put the system operator in danger. When the system dynamics are unknown, safety-critical…

系统与控制 · 电气工程与系统科学 2021-09-29 Luyao Niu , Hongchao Zhang , Andrew Clark
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